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Finding the Fourth Proportional to 3,175.40, 4,756.70 and 2,017

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Solution

The fourth proportional to 3,175.40, 4,756.70 and 2,017 is: 3,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.40 : 4,756.70 = 2,017 : x
  2. Step 2: Convert to fraction form
    3,175.40/4,756.70 = 2,017/x
  3. Step 3: Cross multiply
    3,175.40x = 4,756.70 × 2,017
  4. Step 4: Simplify right side
    3,175.40x = 9,594,263.90
  5. Step 5: Solve for x
    x = 9,594,263.90/3,175.40
  6. Step 6: Final answer
    x = 3,021.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.